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Finding the Fourth Proportional to 102,507.78, 141,476.32 and 62,213.76

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Solution

The fourth proportional to 102,507.78, 141,476.32 and 62,213.76 is: 85,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.78 : 141,476.32 = 62,213.76 : x
  2. Step 2: Convert to fraction form
    102,507.78/141,476.32 = 62,213.76/x
  3. Step 3: Cross multiply
    102,507.78x = 141,476.32 × 62,213.76
  4. Step 4: Simplify right side
    102,507.78x = 8,801,773,818.16
  5. Step 5: Solve for x
    x = 8,801,773,818.16/102,507.78
  6. Step 6: Final answer
    x = 85,864.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.